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Finding the Fourth Proportional to 1,282.16, 1,768.56 and 840.68

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Solution

The fourth proportional to 1,282.16, 1,768.56 and 840.68 is: 1,159.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.16 : 1,768.56 = 840.68 : x
  2. Step 2: Convert to fraction form
    1,282.16/1,768.56 = 840.68/x
  3. Step 3: Cross multiply
    1,282.16x = 1,768.56 × 840.68
  4. Step 4: Simplify right side
    1,282.16x = 1,486,793.02
  5. Step 5: Solve for x
    x = 1,486,793.02/1,282.16
  6. Step 6: Final answer
    x = 1,159.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.